Solve sqrt{30(30-20)(30-15)(30-25)}

$$\sqrt { 30 ( 30 - 20 ) ( 30 - 15 ) ( 30 - 25 ) }$$

Evaluate

$$150$$

Solution Steps

Subtract 20 from 30 to get 10.

$$\sqrt{30\times 10\left(30-15\right)\left(30-25\right)}$$

Multiply 30 and 10 to get 300.

$$\sqrt{300\left(30-15\right)\left(30-25\right)}$$

Subtract 15 from 30 to get 15.

$$\sqrt{300\times 15\left(30-25\right)}$$

Multiply 300 and 15 to get 4500.

$$\sqrt{4500\left(30-25\right)}$$

Subtract 25 from 30 to get 5.

$$\sqrt{4500\times 5}$$

Multiply 4500 and 5 to get 22500.

$$\sqrt{22500}$$

Calculate the square root of 22500 and get 150.

$$150$$

Factor

$$2\times 3\times 5^{2}$$